Question

find x and y : a/x = b/y , b/x + a/y = a^2 + b^2/ab ( answer is x=a and y=b pls tell how)

Answer 1

Answer:

The given system of equations may be written asx+y−(a+b)=0ax−by−(a2−b2)=0By cross-multiplication, we get−(a2−b2)−(−b)×−(a+b)x

The given system of equations may be written as

x+y−(a+b)=0ax−by−(a2−b2)=0By cross-multiplication,

we get−(a2−b2)−(−b)×−(a+b)x= −(a2−b2)−a×−(a+b)−y

⇒−a2+b2−ab−b2x= −a2+b2+a2+ab−y=−b−a1

⇒−a(a+b)x=b(a+b)−y = −(a+b)1

⇒−a(a+b)x= −b(a+b)y= −(a+b)1

⇒x= −(a+b)−a(a+b) =a and y= −(a+b)−b(a+b)=b

Hence, the solution of the given system of equations is x=a,y=b.